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Finding the Fourth Proportional to 137,672.03, 206,510.31 and 37,831.60

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Solution

The fourth proportional to 137,672.03, 206,510.31 and 37,831.60 is: 56,748.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,672.03 : 206,510.31 = 37,831.60 : x
  2. Step 2: Convert to fraction form
    137,672.03/206,510.31 = 37,831.60/x
  3. Step 3: Cross multiply
    137,672.03x = 206,510.31 × 37,831.60
  4. Step 4: Simplify right side
    137,672.03x = 7,812,615,443.80
  5. Step 5: Solve for x
    x = 7,812,615,443.80/137,672.03
  6. Step 6: Final answer
    x = 56,748.02

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.